period ko dhoondho

\sum_{k=0}^{n}{f(x + ka)} = 0

is this functn periodic ??

if yes, fid its period

9 Answers

1
Akand ·

for n=1, period is 2a....
for n=2, period is 3a
for n=3, period is 4a

so for n=n, period is (n+1)a

21
tapanmast Vora ·

reason pl.

1
Akand ·

ok ill solve and post

1
prateek punj ·

toh abhi kya just tukka tha ki koi reason tha....

1
Akand ·

ok for n=1...
f(x)+f(x+a)=0
substitute x as x-a
f(x-a)+f(x)=0
subtract both....
f(x-a)=f(x+a)
substitute x as x+a
f(x)=f(x+2a)
so period is 2a for n=1.....

in d same way we can do the same for others....

and by generalising the result we get d period as (n+1)a

1
Akand ·

oi prateek yaar.................wat i meant was ill type and post d solution

21
tapanmast Vora ·

k k k........ nice thnx [1]

1
prateek punj ·

arey yaar i was just kidding....

1
Akand ·

heheh thts ok...........

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